Pre-Algebra Examples

3 x - 5 = 10

$3 x - 5 = 10$

Step 1

Solve for

y

$y$ .

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Step 1.1

Move all terms not containing

x

$x$ to the right side of the equation.

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Step 1.1.1

Add

5

$5$ to both sides of the equation.

3 x = 10 + 5

$3 x = 10 + 5$

Step 1.1.2

Add

10

$10$ and

5

$5$ .

3 x = 15

$3 x = 15$

3 x = 15

$3 x = 15$

Step 1.2

Divide each term in

3 x = 15

$3 x = 15$ by

3

$3$ and simplify.

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Step 1.2.1

Divide each term in

3 x = 15

$3 x = 15$ by

3

$3$ .

\frac{3 x}{3} = \frac{15}{3}

$\frac{3 x}{3} = \frac{15}{3}$

Step 1.2.2

Simplify the left side.

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Step 1.2.2.1

Cancel the common factor of

3

$3$ .

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Step 1.2.2.1.1

Cancel the common factor.

$\frac{3 x}{3} = \frac{15}{3}$

Step 1.2.2.1.2

Divide

$x$ by

$1$ .

$x = \frac{15}{3}$

Step 1.2.3

Simplify the right side.

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Step 1.2.3.1

Divide

$15$ by

$3$ .

$x = 5$

Step 2

Since

$x = 5$ is a vertical line, there is no y-intercept and the slope is undefined.

Slope: Undefined

y-intercept: No y-intercept

Step 3

Find two points on the line.

$\begin{array}{c} x & y \\ 5 & 0 \\ 5 & 1 \end{array}$

Step 4

Graph the line using the slope, y-intercept, and two points.

Slope: Undefined

y-intercept: No y-intercept

$\begin{array}{c} x & y \\ 5 & 0 \\ 5 & 1 \end{array}$

Step 5

$3 x - 5 = 10$

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